1 answer

10.cm 5. A hinge is affixed to one end of a 325 gram, 0.305-meter wooden rod....

Question:

10.cm 5. A hinge is affixed to one end of a 325 gram, 0.305-meter wooden rod. A 700. gram clay ball is thrown at the rod, str

10.cm 5. A hinge is affixed to one end of a 325 gram, 0.305-meter wooden rod. A 700. gram clay ball is thrown at the rod, striking the it 10. сm to the right of its center of mass. (The ball can be modeled as a point mass.) The ball collides with the rod inelastically, causing the objects to spin. The ball's initial velocity is 2.1 m/s. a. Calculate the system's angular momentum about the pivot after the collision. (5) L = b. What is the combined moment of inertia for the rod and clay ball after the collision? (Hint: Model the clay ball as a point mass.) {6} Itot = c. What is the magnitude of the system's angular velocity right after the collision? {6} i. Orad ii. 4.6 rad iii. 6.8 rad iv. 11 rad

Answers

1.

L = mvr = 0.7*2.1*0.2525 = 0.371175 kgm^2/s

2.

I = \frac{1}{3}*0.325*0.305^2 + 0.7*0.2525*2 = 0.0547 kgm^2

3.

L = I\omega

\omega = \frac{L}{I} = \frac{0.371175}{0.0547} = 6.78477 rad/sec

.

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